Lattice study of SU(2) gauge theory coupled to four adjoint Higgs fields
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916339097010176 |
|---|---|
| author | Catumba, Guilherme Hiraguchi, Atsuki Hou, Wei-Shu Jansen, Karl Kao, Ying-Jer Lin, C. -J. David Ramos, Alberto Sarkar, Mugdha |
| author_facet | Catumba, Guilherme Hiraguchi, Atsuki Hou, Wei-Shu Jansen, Karl Kao, Ying-Jer Lin, C. -J. David Ramos, Alberto Sarkar, Mugdha |
| contents | Gauge theories with matter fields in various representations play an important role in different branches of physics. Recently, it was proposed that several aspects of the interesting pseudogap phase of cuprate superconductors near optimal doping may be explained by an emergent $SU(2)$ gauge symmetry. Around the transition with positive hole-doping, one can construct a $(2+1)-$dimensional $SU(2)$ gauge theory coupled to four adjoint scalar fields which gives rise to a rich phase diagram with a myriad of phases having different broken symmetries. We study the phase diagram of this model on the Euclidean lattice using the Hybrid Monte Carlo algorithm. We find the existence of multiple broken phases as predicted by previous mean field studies. Depending on the quartic couplings, the $SU(2)$ gauge symmetry is broken down either to $U(1)$ or $\mathbb{Z}_2$ in the perturbative description of the model. We further study the confinement-deconfinement transition in this theory, and find that both the broken phases are deconfining in the range of volumes that we studied. However, there exists a marked difference in the behavior of the Polyakov loop between the two phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15422 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lattice study of SU(2) gauge theory coupled to four adjoint Higgs fields Catumba, Guilherme Hiraguchi, Atsuki Hou, Wei-Shu Jansen, Karl Kao, Ying-Jer Lin, C. -J. David Ramos, Alberto Sarkar, Mugdha High Energy Physics - Lattice Strongly Correlated Electrons Superconductivity Gauge theories with matter fields in various representations play an important role in different branches of physics. Recently, it was proposed that several aspects of the interesting pseudogap phase of cuprate superconductors near optimal doping may be explained by an emergent $SU(2)$ gauge symmetry. Around the transition with positive hole-doping, one can construct a $(2+1)-$dimensional $SU(2)$ gauge theory coupled to four adjoint scalar fields which gives rise to a rich phase diagram with a myriad of phases having different broken symmetries. We study the phase diagram of this model on the Euclidean lattice using the Hybrid Monte Carlo algorithm. We find the existence of multiple broken phases as predicted by previous mean field studies. Depending on the quartic couplings, the $SU(2)$ gauge symmetry is broken down either to $U(1)$ or $\mathbb{Z}_2$ in the perturbative description of the model. We further study the confinement-deconfinement transition in this theory, and find that both the broken phases are deconfining in the range of volumes that we studied. However, there exists a marked difference in the behavior of the Polyakov loop between the two phases. |
| title | Lattice study of SU(2) gauge theory coupled to four adjoint Higgs fields |
| topic | High Energy Physics - Lattice Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2407.15422 |